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Finding the Third Proportional to 51,329,862 and 114,135,966

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Solution

The third proportional to 51,329,862 and 114,135,966 is: 253,790,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,329,862 : 114,135,966 = 114,135,966 : x
  2. Step 2: Convert to fraction form
    51,329,862/114,135,966 = 114,135,966/x
  3. Step 3: Cross multiply
    51,329,862x = 114,135,966 × 114,135,966
  4. Step 4: Simplify right side
    51,329,862x = 13,027,018,734,753,156
  5. Step 5: Solve for x
    x = 13,027,018,734,753,156/51,329,862
  6. Step 6: Final answer
    x = 253,790,254.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.